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Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials
http://hdl.handle.net/10091/00020583
http://hdl.handle.net/10091/00020583084b616a-52ff-4f83-ad1c-7fd64f811f59
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||||||
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公開日 | 2018-05-08 | |||||||||
タイトル | ||||||||||
タイトル | Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
DOI | ||||||||||
関連識別子 | https://doi.org/10.3842/SIGMA.2017.020 | |||||||||
関連名称 | 10.3842/SIGMA.2017.020 | |||||||||
キーワード | ||||||||||
主題 | multi-indexed orthogonal polynomials, Laguerre and Jacobi polynomials, Wronskian formula, determinant formula | |||||||||
資源タイプ | ||||||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||||||
タイプ | journal article | |||||||||
著者 |
Odake, Satoru
× Odake, Satoru
× Sasaki, Ryu
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信州大学研究者総覧へのリンク | ||||||||||
氏名 | Odake, Satoru | |||||||||
URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.uhLeuUkV.html | |||||||||
出版者 | ||||||||||
出版者 | NATL ACAD SCI UKRAINE, INST MATH | |||||||||
引用 | ||||||||||
内容記述 | SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. 13(0):020 (2017) | |||||||||
書誌情報 |
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 巻 13, p. 020, 発行日 2017-01 |
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抄録 | ||||||||||
内容記述 | The multi-indexed Laguerre and Jacobi polynomials form a complete set of orthogonal polynomials. They satisfy second-order differential equations but not three term recurrence relations, because of the 'holes' in their degrees. The multi-indexed Laguerre and Jacobi polynomials have Wronskian expressions originating from multiple Darboux transformations. For the ease of applications, two different forms of simplified expressions of the multi-indexed Laguerre and Jacobi polynomials are derived based on various identities. The parity transformation property of the multi-indexed Jacobi polynomials is derived based on that of the Jacobi polynomial. | |||||||||
資源タイプ(コンテンツの種類) | ||||||||||
内容記述 | Article | |||||||||
ISSN | ||||||||||
収録物識別子タイプ | ISSN | |||||||||
収録物識別子 | 1815-0659 | |||||||||
権利 | ||||||||||
権利情報 | The authors retain ownership of the copyright with respect to their papers published in SIGMA under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. | |||||||||
出版タイプ | ||||||||||
出版タイプ | VoR | |||||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
WoS | ||||||||||
URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000399290700001 |